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Matematicheskie Zametki, 2023, Volume 114, Issue 2, Pages 203–211
DOI: https://doi.org/10.4213/mzm13741 (Mi mzm13741) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Some Classes of Bases in Finite-Dimensional Lie Algebras

V. V. Gorbatsevich
Full-text PDF (485 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13741
Abstract: In the paper, Lie algebras having bases of a special form (nice and beautiful bases) are considered. For nice bases, it is proved that, in a chosen nilpotent Lie algebra, their number (up to equivalence) is finite. For some Lie algebras of low dimension, it is shown that, when passing from a complex Lie algebra to its realification, the property to have a beautiful basis is lost.
Keywords: Lie algebra, nice basis, equivalent bases.
Received: 27.09.2022
Revised: 22.12.2022
English version:
Mathematical Notes, 2023, Volume 114, Issue 2, Pages 165–171
DOI: https://doi.org/10.1134/S0001434623070180
Bibliographic databases:
Document Type: Article
UDC: 512.554.1
Language: Russian
Citation: V. V. Gorbatsevich, “On Some Classes of Bases in Finite-Dimensional Lie Algebras”, Mat. Zametki, 114:2 (2023), 203–211; Math. Notes, 114:2 (2023), 165–171
Citation in format AMSBIB
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\by V.~V.~Gorbatsevich
\paper On Some Classes of Bases in Finite-Dimensional Lie Algebras
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 2
\pages 203--211
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\crossref{https://doi.org/10.4213/mzm13741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4634784}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 2
\pages 165--171
\crossref{https://doi.org/10.1134/S0001434623070180}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168584286}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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